Spatiotemporal dissipative solitons in two-dimensional photonic lattices

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 5, 2008, Pages

  Mihalache, Dumitru ^a   Mazilu, Dumitru ^a   Lederer, Falk ^b   Kivshar, Yuri S ^c  

^a HORIA HULUBEI NATIONAL INSTITUTE OF PHYSICS AND NUCLEAR ENGINEERING   (Romania)

^b FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^c AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

OPTICAL LATTICES; PHOTONICS;

CONTINUOUS-DISCRETE; DISSIPATIVE LATTICES; DISSIPATIVE SOLITONS; EXISTENCE AND STABILITY; GINZBURG-LANDAU MODELS; LATTICE SOLITONS; PARAMETER SPACES; TWO-DIMENSIONAL LATTICES;

SOLITONS;

EID: 56649109470     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.056602     Document Type: Article

References (63)

1. W. J. Tomlinson, Opt. Lett. 5, 323 (1980);
2. V. M. Agranovich, V. S. Babichenko, and V. Y. Chernyak, JETP Lett. 32, 512 (1980).
3. V. K. Fedyanin and D. Mihalache, Z. Phys. B: Condens. Matter 47, 167 (1982); 10.1007/BF01441299
4. D. Mihalache, R. G. Nazmitdinov, and V. K. Fedyanin, Phys. Scr. 29, 269 (1984). 10.1088/0031-8949/29/3/014
5. U. Langbein, F. Lederer, and H.-E. Ponath, Opt. Commun. 46, 167 (1983). 10.1016/0030-4018(83)90270-5
6. G. I. Stegeman, C. T. Seaton, J. Chilwell, and S. D. Smith, Appl. Phys. Lett. 44, 830 (1984). 10.1063/1.94956
7. N. N. Akhmediev, V. I. Korneyev, and Y. V. Kuzmenko, Zh. Eksp. Teor. Fiz. 88, 107 (1985)
8. N. N. Akhmediev, V. I. Korneyev, and Y. V. Kuzmenko [Sov. Phys. JETP 61, 62 (1985)].
9. F. Lederer and D. Mihalache, Solid State Commun. 59, 151 (1986); 10.1016/0038-1098(86)90198-5
10. D. Mihalache, D. Mazilu, and F. Lederer, Opt. Commun. 59, 391 (1986); 10.1016/0030-4018(86)90364-0
11. D. Mihalache, Opt. Lett. 12, 187 (1987).
12. D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 229 (1989).
13. A. D. Boardman, P. Egan, F. Lederer, U. Langbein, and D. Mihalache, in Nonlinear Surface Electromagnetic Phenomena, edited by, H.-E. Ponath, and, G. I. Stegeman, (Elsevier Science, Amsterdam, 1991), pp. 73-287.
14. F. Lederer, L. Leine, R. Muschall, T. Peschel, C. Schmidt-Hattenberger, U. Trutschel, A. D. Boardman, and C. Wächter, Opt. Commun. 99, 95 (1993). 10.1016/0030-4018(93)90711-D
15. K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Haché, Opt. Lett. 30, 2466 (2005). 10.1364/OL.30.002466
16. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006). 10.1103/PhysRevLett.96.063901
17. M. I. Molina, R. A. Vicencio, and Yu. S. Kivshar, Opt. Lett. 31, 1693 (2006). 10.1364/OL.31.001693
18. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).
19. Y. V. Kartashov, V. A. Vysloukh, D. Mihalache, and L. Torner, Opt. Lett. 31, 2329 (2006); 10.1364/OL.31.002329
20. Y. V. Kartashov, L. Torner, and V. A. Vysloukh, Opt. Lett. 31, 2595 (2006). 10.1364/OL.31.002595
21. Y. V. Kartashov, F. Ye, V. A. Vysloukh, and L. Torner, Opt. Lett. 32, 2260 (2007). 10.1364/OL.32.002260
22. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. A 76, 013831 (2007). 10.1103/PhysRevA.76.013831
23. M. I. Molina, Y. V. Kartashov, L. Torner, and Yu. S. Kivshar, Opt. Lett. 32, 2668 (2007). 10.1364/OL.32.002668
24. M. I. Molina, Y. V. Kartashov, L. Torner, and Yu. S. Kivshar, Phys. Rev. A 77, 053813 (2008). 10.1103/PhysRevA.77.053813
25. C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Yu. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006). 10.1103/PhysRevLett.97.083901
26. E. Smirnov, M. Stepić, C. E. Rütter, D. Kip, and V. Shandarov, Opt. Lett. 31, 2338 (2006). 10.1364/OL.31.002338
27. B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007). 10.1103/PhysRevLett.98.213901
28. A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, V. A. Vysloukh, and L. Torner, Opt. Lett. 33, 1132 (2008). 10.1364/OL.33.001132
29. X. Wang, A. Samodurov, and Z. Chen, Opt. Lett. 33, 1240 (2008). 10.1364/OL.33.001240
30. S. Suntsov, J. Nonlinear Opt. Phys. Mater. 16, 401 (2007); 10.1142/S0218863507003834
31. F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Phys. Rep. 463, 1 (2008); 10.1016/j.physrep.2008.04.004
32. Yu. S. Kivshar, Laser Phys. Lett. 5, 703 (2008). 10.1002/lapl.200810062
33. D. Mihalache, D. Mazilu, F. Lederer, and Yu. S. Kivshar, Phys. Rev. A 77, 043828 (2008). 10.1103/PhysRevA.77.043828
34. N. K. Efremidis and D. N. Christodoulides, Phys. Rev. E 67, 026606 (2003). 10.1103/PhysRevE.67.026606
35. E. A. Ultanir, G. I. Stegeman, D. Michaelis, C. H. Lange, and F. Lederer, Phys. Rev. Lett. 90, 253903 (2003). 10.1103/PhysRevLett.90.253903
36. U. Peschel, O. Egorov, and F. Lederer, Opt. Lett. 29, 1909 (2004). 10.1364/OL.29.001909
37. N. K. Efremidis, D. N. Christodoulides, and K. Hizanidis, Phys. Rev. A 76, 043839 (2007). 10.1103/PhysRevA.76.043839
38. A. B. Aceves, C. De Angelis, A. M. Rubenchik, and S. K. Turitsyn, Opt. Lett. 19, 329 (1994);
39. E. W. Laedke, K. H. Spatschek, and S. K. Turitsyn, Phys. Rev. Lett. 73, 1055 (1994); 10.1103/PhysRevLett.73.1055
40. A. V. Buryak and N. N. Akhmediev, IEEE J. Quantum Electron. 31, 682 (1995). 10.1109/3.371943
41. Z. Xu, Y. V. Kartashov, L. C. Crasovan, D. Mihalache, and L. Torner, Phys. Rev. E 70, 066618 (2004). 10.1103/PhysRevE.70.066618
42. Yu. V. Bludov and V. V. Konotop, Phys. Rev. E 76, 046604 (2007). 10.1103/PhysRevE.76.046604
43. N. C. Panoiu, B. A. Malomed, and R. M. Osgood, Phys. Rev. A 78, 013801 (2008); 10.1103/PhysRevA.78.013801
44. N. C. Panoiu, R. M. Osgood, and B. A. Malomed, Opt. Lett. 31, 1097 (2006). 10.1364/OL.31.001097
45. Q. E. Hoq, R. Carretero-Gonzales, P. G. Kevrekidis, B. A. Malomed, D. J. Frantzeskakis, Yu. V. Bludov, and V. V. Konotop, Phys. Rev. E 78, 036605 (2008). 10.1103/PhysRevE.78.036605
46. C. J. Benton, A. V. Gorbach, and D. V. Skryabin, Phys. Rev. A 78, 033818 (2008). 10.1103/PhysRevA.78.033818
47. H. Leblond, B. A. Malomed, and D. Mihalache, Phys. Rev. A 77, 063804 (2008). 10.1103/PhysRevA.77.063804
48. F. Kh. Abdullaev, Yu. V. Bludov, S. V. Dmitriev, P. G. Kevrekidis, and V. V. Konotop, Phys. Rev. E 77, 016604 (2008). 10.1103/PhysRevE.77.016604
49. D. Mihalache, D. Mazilu, F. Lederer, and Yu. S. Kivshar, Opt. Express 15, 589 (2007). 10.1364/OE.15.010718
50. D. Mihalache, D. Mazilu, F. Lederer, and Yu. S. Kivshar, Opt. Lett. 32, 2091 (2007). 10.1364/OL.32.002091
51. K. G. Makris, J. Hudock, D. N. Christodoulides, G. Stegeman, O. Manela, and M. Segev, Opt. Lett. 31, 2774 (2006). 10.1364/OL.31.002774
52. R. A. Vicencio, S. Flach, M. I. Molina, and Yu. S. Kivshar, Phys. Lett. A 364, 274 (2007). 10.1016/j.physleta.2006.12.035
53. H. Susanto, P. G. Kevrekidis, B. A. Malomed, R. Carretero- González, and D. J. Frantzeskakis, Phys. Rev. E 75, 056605 (2007). 10.1103/PhysRevE.75.056605
54. X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, Phys. Rev. Lett. 98, 123903 (2007). 10.1103/PhysRevLett.98. 123903
55. A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, Phys. Rev. Lett. 98, 173903 (2007). 10.1103/PhysRevLett.98.173903
56. I. S. Aranson and L. Kramer, Rev. Mod. Phys. 74, 99 (2002). 10.1103/RevModPhys.74.99
57. Dissipative Solitons, edited by, N. Akhmediev, and, A. Ankiewicz, Lecture Notes in Physics Vol. 661 (Springer, Berlin, 2005).
58. N. N. Rosanov, Spatial Hysteresis and Optical Patterns (Springer, Berlin, 2002).
59. J. M. Ortega and W. C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables (Academic Press, New York, 1970), p. 182.
60. Y. Silberberg, Opt. Lett. 15, 1282 (1990).
61. B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, J. Opt. B: Quantum Semiclassical Opt. 7, R53 (2005). 10.1088/1464-4266/7/5/R02
62. D. Mihalache, D. Mazilu, Yu. S. Kivshar, and F. Lederer, Opt. Express 15, 10718 (2007). 10.1364/OE.15.010718
63. D. Mihalache, D. Mazilu, F. Lederer, and Yu. S. Kivshar, Opt. Lett. 32, 3173 (2007). 10.1364/OL.32.003173